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- W3111291503 abstract "Let ${cal L}$ be a Desarguesian 2-spread in the Grassmann graph $J_q(n,2)$. We prove that the collection of the $4$-subspaces, which do not contain subspaces from ${cal L}$ is a completely regular code in $J_q(n,4)$. Similarly, we construct a completely regular code in the Johnson graph $J(n,6)$ from the Steiner quadruple system of the extended Hamming code. We obtain several new completely regular codes with covering radius $1$ in the Grassmann graph $J_2(6,3)$ using binary linear programming." @default.
- W3111291503 created "2020-12-21" @default.
- W3111291503 creator A5034305800 @default.
- W3111291503 date "2022-06-17" @default.
- W3111291503 modified "2023-10-14" @default.
- W3111291503 title "Completely Regular Codes in Johnson and Grassmann Graphs with Small Covering Radii" @default.
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- W3111291503 doi "https://doi.org/10.37236/10083" @default.
- W3111291503 hasPublicationYear "2022" @default.
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